en jalali 1397 2 1 gregorian 2018 5 1 13 1 online 1 fulltext

en In this article, we obtain generalizations for Grüss type integral inequality by using h(x)-Riemann-Liouville fractional integral. Fractional Integral, Grüss İnequality, Gruss Type Inequalities, Riemann-Liouville Fractional Integral. 1 13 http://ijmsi.ir/browse.php?a_code=A-10-1334-1&slc_lang=en&sid=1 2015/03/16 1393/12/25 2018/01/17 1396/10/27 E. Kacar University of Kahramanmaraş Sütçü İmam kacarergun@gmail.com 0031947532846005214 0031947532846005214 Yes Z. Kacar University of Maryland, Department of Statistics 0031947532846005215 0031947532846005215 No H. Yildirim University of Kahramanmaraş Sütçü İmam 0031947532846005216 0031947532846005216 No

en In this paper, we investigate the means of the values of prime counting function $pi(x)$. First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of the ratio of them. Primes counting function, Means of the values of function. 15 22 http://ijmsi.ir/browse.php?a_code=A-10-706-1&slc_lang=en&sid=1 2015/03/162014/03/15 1392/12/24 2018/01/172018/02/13 1396/11/24 M. Hassani University of Zanjan mehdi.hassani@znu.ac.ir 0031947532846004831 0031947532846004831 Yes

en This paper is concerned with the study of fuzzy dynamical systems. Let (X,M,* ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map defined on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved. Fuzzy metric, Fuzzy discrete dynamical systems, Fuzzy shadowing, Fuzzy ergodic shadowing, Fuzzy topological mixing 23 37 http://ijmsi.ir/browse.php?a_code=A-10-1446-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/29 1394/3/8 2018/01/172018/02/132016/06/28 1395/4/8 M. Fatehi Nia Department of Mathematics, Yazd University fatehiniam@yazd.ac.ir 0031947532846005485 0031947532846005485 Yes

en   The largest class of hyperstructures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyperstructures are used in the Lie-Santilli theory focusing to the hypernumbers, called e-numbers. We present the appropriate e-hyperstuctures which are defined using any map, in the sense the derivative map, called theta-hyperstructures. Hyperstructures, Hv−structures, Hopes, Theta-structures 39 50 http://ijmsi.ir/browse.php?a_code=A-10-1469-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/27 1394/4/6 2018/01/172018/02/132016/06/282016/01/5 1394/10/15 R. Mahjoob Department of Mathematics-Semnan University mahjoob@profs.semnan.ac.ir 0031947532846005486 0031947532846005486 Yes

en In this paper, we define duplication corona, duplication neighborhood corona and duplication edge corona of two graphs. We compute their adjacency spectrum, Laplacian spectrum and signless Laplacian. As an application, our results enable us to construct infinitely many pairs of cospectral graphs and also integral graphs. Duplication corona, Duplication edge corona, Duplication neighborhood corona, Cospectral graphs, Integral graphs. 51 65 http://ijmsi.ir/browse.php?a_code=A-10-1487-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/23 1394/5/1 2018/01/172018/02/132016/06/282016/01/52017/10/22 1396/7/30 Ch. Adiga University of Mysore c_adiga@hotmail.com 0031947532846004834 0031947532846004834 Yes B. R. Rakshith University of Mysore ranmsc08@yahoo.co.in 0031947532846004835 0031947532846004835 No K. N. Subba Krishna University of Mysore sbbkrishna@gmail.com 0031947532846004836 0031947532846004836 No

en Let $R$ be a commutative ring and $I$ an ideal of $R$. The zero-divisor graph of $R$ with respect to $I$, denoted by $Gamma_I(R)$, is the simple graph whose vertex set is ${x in Rsetminus I mid xy in I$, for some $y in Rsetminus I}$, with two distinct vertices $x$ and $y$ are adjacent if and only if $xy in I$. In this paper, we state a relation between zero-divisor graph of $R$ with respect to an ideal and almost prime ideals of $R$. We then use this result to give a graphical characterization for $SPAP$-rings. SPAP-Ring, Almost prime ideal, Zero-divisor graph with respect to an ideal 67 73 http://ijmsi.ir/browse.php?a_code=A-10-1272-2&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/5 1394/5/14 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/29 1395/4/9 E. Rostami Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran e_rostami@uk.ac.ir 0031947532846004837 0031947532846004837 Yes

en In the present paper for two $mathfrak{A}$-module Banach algebras $A$ and $B$, we investigate relations between $varphi$-$mathfrak{A}$-module approximate amenability of $A$, $psi$-$mathfrak{A}$-module approximate amenability of $B$, and $varphioplus psi$-$mathfrak{A}$-module approximate amenability of $Aoplus B$ ($l^1$-direct sum of $A$ and $B$), where $varphiin$ Hom$_{mathfrak{A}}(A)$ and $psiin$ Hom$_{mathfrak{A}}(B)$. Banach algebra, Module derivation, Module approximate amenability. 75 87 http://ijmsi.ir/browse.php?a_code=A-10-1516-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/18 1394/5/27 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/23 1395/2/4 H. Sadeghi Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran. sadeghi@sci.ui.ac.ir 0031947532846005300 0031947532846005300 Yes

en This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and the Serre subcategories of the category of modules. We characterize the membership of local cohomology modules in a certain Serre subcategory from lower range or upper range. Local cohomology modules, Pair of ideals, Serre subcategory 89 96 http://ijmsi.ir/browse.php?a_code=A-10-1549-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/1 1394/6/10 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/18 1395/10/29 F. Dehghani-Zadeh Islamic Azad University, Yazd Branch fdzadeh@gmail.com 0031947532846005299 0031947532846005299 Yes

en The purpose of this short note is to consider much shorter and nicer proofs about fixed point results on b-metric spaces via b-simulation function introduced very recently by Demma et al. [M. Demma, R. Saadati, P. Vetro, emph{Fixed point results on b-metric space via Picard sequences and b-simulation functions}, Iranian J. Math. Sci. Infor. 11 (1) (2016) 123--136]. b-Metric space, b-Simulation function, Cauchy sequence, Lower semi-continuous 97 102 http://ijmsi.ir/browse.php?a_code=A-10-2258-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/2 1395/8/12 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/21 1395/11/2 Gh. Soleimani Rad Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran gha.soleimani.sci@iauctb.ac.ir 0031947532846004845 0031947532846004845 Yes S. Radenovic Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia & State University of Novi Pazar, Serbia radens@beotel.net 0031947532846004846 0031947532846004846 No D. Dolicanin-Dekic Faculty of Technical Sciences, Kneza Miov{s}a 7, 38 220 Kosovska Mitrovica, Serbia diana.dolicanin@pr.ac.rs 0031947532846004847 0031947532846004847 No

en In this paper, we introduce the concept of family of local atoms in a 2-inner product space and then this concept is generalized to an atomic system. Besides, a characterization of an atomic system lead to obtain a new frame. Actually this frame is a generalization of previous works. 2-inner product space, 2-norm space, Family of local atoms, Atomic system, Frame. 103 110 http://ijmsi.ir/browse.php?a_code=A-10-1580-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/22015/09/6 1394/6/15 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/212017/11/11 1396/8/20 B. Dastourian Department of Pure Mathematics Ferdowsi University of Mashhad 0031947532846005289 0031947532846005289 Yes M. Janfada Department of Pure Mathematics Ferdowsi University of Mashhad 0031947532846005290 0031947532846005290 No

en In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schr¨odinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant literature and the references here). In this paper we study the closed Newton-Cotes formulae and we write them as symplectic multilayer structures. Based on the closed Newton-Cotes formulae, we also develop trigonometrically-fitted symplectic methods. An error analysis for the onedimensional Schrodinger equation of the new developed methods and a comparison with previous developed methods is also given. We apply the new symplectic schemes to the well-known radial Schr¨odinger equation in order to investigate the efficiency of the proposed method to these type of problems. Phase-lag, Schrodinger equation, Numerical solution, Newton-Cotes formulae, Derivative 111 129 http://ijmsi.ir/browse.php?a_code=A-10-1649-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/22015/09/62015/10/4 1394/7/12 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/212017/11/112016/04/30 1395/2/11 A. Shokri Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran shokri@maragheh.ac.ir 0031947532846005291 0031947532846005291 Yes H. Saadat Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran hosein67saadat@yahoo.com 0031947532846005292 0031947532846005292 No A. R. Khodadadi Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran ali_reza_khodadadi@yahoo.com 0031947532846005293 0031947532846005293 No

en In this paper, we characterize the shellable complete $t$-partite graphs. We also show for these types of graphs the concepts vertex decomposable, shellable and sequentially Cohen-Macaulay are equivalent. Furthermore, we give a combinatorial condition for the Cohen-Macaulay complete $t$-partite graphs. Cohen-Macaulay, shellable, vertex decomposable, edge ideal 131 138 http://ijmsi.ir/browse.php?a_code=A-10-1655-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/22015/09/62015/10/42015/10/12 1394/7/20 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/212017/11/112016/04/302016/06/11 1395/3/22 S. M. Seyyedi Amirkabir University of Technology 0031947532846005294 0031947532846005294 No F. Rahmati Amirkabir University of Technology frahmati@aut.ac.ir 0031947532846005295 0031947532846005295 Yes

en The purpose of this paper is twofold. First we derive theoretically, using appropriate transformation on x(n), the closed-form solution of the nonlinear difference equation x(n+1) = 1/(±1 + x(n)), n ∈ N_0. The form of solution of this equation, however, was first obtained in [10] but through induction principle. Then, with the solution of the above equation at hand, we prove a case of Sroysang’s conjecture (2013) [9] i.e., given a fixed positive integer k, we verify the validity of the following claim: lim x→∞ f(x + k)/f(x) = φ, where φ = (1 + √5)/2 denotes the well-known golden ratio and the real valued function f on R satisfies the functional equation f(x + 2k) =f(x + k) + f(x) for every x ∈ R. We complete the proof of the conjecture by giving out an entirely different approach for the other case. Golden ratio, Fibonacci functional equation, Horadam functional equation, convergence. 139 151 http://ijmsi.ir/browse.php?a_code=A-10-1534-1&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/22015/09/62015/10/42015/10/122015/08/24 1394/6/2 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/212017/11/112016/04/302016/06/112017/10/25 1396/8/3 J. F. Rabago University of the Philippines Baguio jfrabago@gmail.com 0031947532846005296 0031947532846005296 Yes

en Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS, PERSIAN, Vol. 13, No. 1 153 166 http://ijmsi.ir/browse.php?a_code=A-10-1873-11&slc_lang=en&sid=1 2015/03/162014/03/152015/05/292015/06/272015/07/232015/08/52015/08/182015/09/12016/11/22015/09/62015/10/42015/10/122015/08/242018/06/9 1397/3/19 2018/01/172018/02/132016/06/282016/01/52017/10/222016/06/292016/04/232017/01/182017/01/212017/11/112016/04/302016/06/112017/10/252018/06/9 1397/3/19 Name of Authors In This Volume Iranian Journal of Mathematical Sciences and Informatics fatemeh.bardestani@gmail.com 0031947532846005297 0031947532846005297 Yes